What ate the domain and range of f(x)(1/6)x+2?

Answer:

0.048

explanation:

Answer:

50 minutes

Step-by-step explanation:

so it takes 25 minutes to boil 10 egggs so right now we have to find out the how Long one egg cooks for so it’s 25/10 and the answer is 2.5 and 2.5 times 20 is 50 so it takes 50 mins to cook 20 eggs

The profuct of the given expression (x-2)³ is (x³ - 6x² + 12x - 8).

So, (x-2)³:

Do, the product as follows:

Perfect cube root formula: (a - b)³ = a³ - 3a²b + 3ab² -b³

Simplify:

Therefore, the profuct of the given expression (x-2)³ is (x³ - 6x² + 12x - 8).

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Answer:

3034 grams

Step-by-step explanation:

to find one serving divide the total grams by grams per serving:

106200/35

=3034.28571429=3034(rounded to nearest whole number)

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Answer:

usage patterns are a variable used in market segmentation.

Step-by-step explanation:

Usage patterns are a variable used in behavioral segmentation.

Behavioral segmentation is a marketing strategy that divides a market into different segments based on consumer behavior, specifically their patterns of product usage, buying habits, and decision-making processes. This segmentation approach recognizes that customers with similar behavioral characteristics are likely to exhibit similar preferences and respond in a similar manner to marketing initiatives.

Usage patterns, as a variable, help marketers understand and classify customers based on how they interact with a product or service. This can include factors such as the frequency of product usage, the amount of product used, the timing of purchases, brand loyalty, product benefits sought, and other behavioral indicators.

By analyzing usage patterns, marketers can identify distinct segments within their target market and tailor marketing strategies to meet the unique needs and preferences of each segment. This enables companies to develop more targeted marketing campaigns, optimize product offerings, improve customer satisfaction, and drive customer loyalty.

Overall, behavioral segmentation, including the consideration of usage patterns, allows companies to better understand and connect with their customers by aligning their marketing efforts with specific behaviors and motivations.

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Answer:

At least means... From 45$ above or It should be equal to 45 or More...

7x≥45

x≥45/7

He need to Move at least 7 lawns.

Answer:

480 calories

Step-by-step explanation:

(240/30)=(400/50)=(x/60)

Therefore

(240/30)=(x/60)

8=(x/60)

8*60=x

480=x

Answer:

a. h(-6)=10

b. x=6

Step-by-step explanation:

a.

To find h(-6), you want to plug in x=-6 into h(x).

\(h(-6)=6-\frac{2}{3}(-6)\)          [multiply]

\(h(-6)=6+4\)                  [add]

\(h(-6)=10\)

Now, we know that h(-6)=10.

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b.

To find the value of x, we want to set h(x) equal to 2.

\(2=6-\frac{2}{3} x\)                        [subtract both sides by 6]

\(-4=-\frac{2}{3}x\)                         [multiply both sides by -3/2]

\(x=6\)

Now, we know that x=6.

Answer:

0.0567 x 10^4 < 2.3069 x 10^3 < 0.04069 x 10^5

Step-by-step explanation:

2.3069 x 10^5

4.069 x 10^5

0.567 x 10^5

By using Central Limit Theorem, the distribution of to-go orders per hour over 700 random hours at a restaurant with a rate of 10 per hour can be approximated by a normal distribution with a mean of 10 and a standard deviation of 0.119.

The distribution of the average number of to-go orders per hour over 700 random hours can be approximated by the Central Limit Theorem (CLT). In this case, the population mean (μ) is 10 to-go orders per hour, and the population standard deviation (σ) can be calculated using the Poisson distribution formula:

σ = sqrt(μ) = sqrt(10) ≈ 3.162

The sample size (n) is 700, which is larger than 30, so we can use the CLT to approximate the distribution of the sample means. The mean of the sample means is equal to the population mean, which is 10 to-go orders per hour. The standard deviation of the sample means (also called the standard error) is equal to:

SE = σ / sqrt(n) = 3.162 / sqrt(700) ≈ 0.119

Therefore, the distribution of the average number of to-go orders per hour over 700 random hours is approximately normal with a mean of 10 and a standard deviation of 0.119

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Answer: f(-3) = -27 & f(3) = 27

Step-by-step explanation:

(-3)^3

-27

(3)^3

27

Answer:

numbers ABC sign each following find formula

The given statement "for continuous random variables, the probability of any specific value of the random variable is one." is false because the random variable taking on any specific value is then given by the area under the PDF curve at that value, which is zero.

In fact, for continuous random variables, the probability of any specific value is zero. This may seem counterintuitive at first, but it is a fundamental property of continuous random variables.

The PDF is a function that describes the relative likelihood of the random variable taking on a particular value within its range. The probability of the random variable taking on a specific value is then given by the area under the PDF curve at that value.

Since the PDF is a continuous function, the probability of the random variable taking on any specific value is zero. This is because the area under a continuous curve at any single point is zero.

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Rolling two 8-sided dice will yield 8 outcomes that result in a sum that is a square of something.

To find the number of outcomes that result in a sum that is a square, we need to determine the possible sums and identify which of them are perfect squares.

Let's analyze the possible outcomes when rolling two 8-sided dice. Each die has 8 faces, numbered from 1 to 8. Therefore, the maximum sum we can obtain is 8 + 8 = 16.

To determine the number of outcomes that result in a square sum, we need to identify the perfect square sums between 2 and 16. The perfect squares in this range are 4, 9, and 16.

Now, let's find the outcomes that yield these square sums:

To obtain a sum of 4, we can roll (1, 3), (2, 2), or (3, 1) on the two dice. That's 3 possible outcomes.

To obtain a sum of 9, we can roll (3, 6), (4, 5), (5, 4), or (6, 3) on the two dice. That's 4 possible outcomes.

To obtain a sum of 16, we can only roll (8, 8) on the two dice. That's 1 possible outcome.

Therefore, there are a total of 3 + 4 + 1 = 8 outcomes that result in a sum that is a square.

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Answer:

-1/10

I'm sure this answer is right.

Use the formula M= rise/run.

Then you will get this answer.

The distance the visitor should run to minimize the time it takes to reach the rock formation is 3/4 miles.

A unitary method is a mathematical technique used to solve problems involving proportional relationships between different quantities.

Let's use the unitary method to find the time it takes to complete the journey.

Time taken to run = Distance / Rate = x / 4

Time taken to swim = Distance / Rate = (3 - x) / 3

Total time taken = Time taken to run + Time taken to swim

= x / 4 + (3 - x) / 3

To minimize the total time taken, we need to find the value of x that minimizes the above expression. Let's differentiate it with respect to x and equate it to zero.

d/dx (x/4 + (3-x)/3) = 1/4 - 1/3 = -1/12

-1/12 = 0 (at minimum)

Solving for x, we get:

x = 3/4

The visitor should run westward along the shoreline until reaching the point 3/4 miles away from the tent, and then swim the remaining 2 1/4 miles to reach the rock formation.

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We cannot find a number A such that the given series becomes convergent because the series has the exponential function eaLn, which grows arbitrarily large as n increases. Thus, we conclude that the given series is always divergent.

a) The given series is Σn/bn, n=1 which can be shown to be convergent or divergent in three different ways, which are given below:Graphical Test:For this test, draw a horizontal line on the coordinate axis at the level y=1/b. Then, mark the points (1, b1), (2, b2), (3, b3), … etc. on the coordinate axis. If the points lie below the horizontal line, then the series is convergent. Otherwise, it is divergent.Algebraic Test:Find the limit of bn as n tends to infinity. If the limit exists and is not equal to zero, then the series is divergent. If the limit is equal to zero, then the series may or may not be convergent. In this case, apply the ratio test.Ratio Test:For this test, find the limit of bn+1/bn as n tends to infinity. If the limit is less than one, then the series is convergent. If the limit is greater than one, then the series is divergent. If the limit is equal to one, then the series may or may not be convergent. In this case, apply the root test.b) The given series is eaLn, n=1 which is a divergent series. To see why, we can use the following steps:eaLn is a geometric sequence with a common ratio of ea. Since |ea| > 1, the geometric sequence diverges. Therefore, the given series is divergent.

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Answer:

C = 97°

Step-by-step explanation:

Using exterior angles theorem, we can say that:

c-48+c=c+49

So c-48=49

And C = 97°

Answer:

-4

Step-by-step explanation:

To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.

Answer:

$1950.74

Step-by-step explanation:

step 1

x(1 + 0.06/12)^5=2000

step 2

x= 2000/(1 + 0.06/12)^5

= 1950.741337

Answer:

$946.21

Step-by-step explanation:

The first derivative of r(t), denoted as r'(t), is equal to (6, 10t, 15t^2). The second derivative of r(t), denoted as r''(t), is equal to (0, 10, 30t). The cross product of r'(t) and r''(t), denoted as r'(t) × r''(t), is equal to (-150t^2, 0, -10).

To find the first derivative of r(t), we differentiate each component of r(t) with respect to t. For r(t) = (6t, 5t^2, 5t^3), we have r'(t) = (d(6t)/dt, d(5t^2)/dt, d(5t^3)/dt) = (6, 10t, 15t^2).

To find t(1), we substitute t = 1 into the expression for r(t), giving r(1) = (6(1), 5(1)^2, 5(1)^3) = (6, 5, 5).

To find the second derivative of r(t), we differentiate each component of r'(t) with respect to t. For r'(t) = (6, 10t, 15t^2), we have r''(t) = (d(6)/dt, d(10t)/dt, d(15t^2)/dt) = (0, 10, 30t).

Finally, to find the cross product of r'(t) and r''(t), we compute the determinant of the matrix formed by the unit vectors i, j, and k, and the vectors r'(t) and r''(t). The cross product is given by r'(t) × r''(t) = (-150t^2, 0, -10).

In summary, we have found r'(t) = (6, 10t, 15t^2), t(1) = (6, 5, 5), r''(t) = (0, 10, 30t), and r'(t) × r''(t) = (-150t^2, 0, -10).

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The given function f gives the distance of a dog from a post in feet as a function of time t in seconds since the owner left. We wrote 3 true statements about this situation using function notation.

Given a function f, which gives the distance of a dog from a post in feet as a function of time t in seconds since the owner left. We need to write 3 true statements about this situation using function notation.

1) Let's consider the function f(t), the input t is the time since the owner left, and the output f(t) is the distance of the dog from the post.

2) Since the function f gives the distance of the dog from a post, it can only take non-negative values. Therefore, the domain of the function is the set of non-negative real numbers.

3) If the dog is stationary, that means the distance from the post will be zero, which means that the value of the function f(t) will be zero when t is equal to zero

Conclusion:In summary, the given function f gives the distance of a dog from a post in feet as a function of time t in seconds since the owner left. We wrote 3 true statements about this situation using function notation.

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It would take the athlete 2.4 minutes to run 600 meters.

An athlete runs 500 meters in 2 minutes.

The athlete’s speed per minute (or rate) can be determined using the formula: Speed = Distance / Time

Thus, the athlete’s speed = 500 meters / 2 minutes = 250 meters/minute

To find out how long it would take the athlete to run 600 meters at this speed, we can rearrange the formula above to: Time = Distance / Speed

So the time taken by the athlete to run 600 meters at this speed would be:Time = 600 meters / 250 meters/minute

Time = 2.4 minutes

Therefore, it would take the athlete 2.4 minutes to run 600 meters. This is calculated by dividing 600 meters by the athlete's speed which is 250 meters per minute.

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Answer:

\(\frac{11}{15}-\frac{2}{3}\left(-0.4\right)-\frac{4}{3}=-0.33333\dots\)

Step-by-step explanation:

m + np - q

\(\frac{11}{15}-\frac{2}{3}\left(-0.4\right)-\frac{4}{3}\)

\(\frac{11}{15}-\frac{2}{3}\left(-0.4\right)-\frac{4}{3}\)

\(0.4\cdot \frac{2}{3}-\frac{4}{3}+\frac{11}{15}\)

\(=0.26666\dots -\frac{4}{3}+\frac{11}{15}\)

\(=-\frac{20}{15}+\frac{11}{15}\)

\(=\frac{-20+11}{15}\)

\(=-\frac{9}{15}\)

\(=0.26666\dots -\frac{3}{5}\)

\(=-0.33333\dots\)

From the proof of modular congruence below, it has been shown that;

41 ≡ 21 (mod 3).

We want to use the definition of modular congruence to prove that;

41 is congruent to 21 (mod 3) i.e if a ≡ b (mod m) then b ≡ a (mod m).

We are trying to prove that modular congruence mod 3 is a symmetric relation on the integers.

First, if we recall the definition of modular congruence:

For integers a, b and positive integer m,  

a ≡ b (mod m) if and only if m|a–b

Suppose 41 ≡ 21 (mod 3).

Then, by definition, 3|41–21, so there is an integer k such that 41 – 21 = 3k.

Thus;

–(41 – 21) = –3k

So

21 – 41 = 3(–k)

This shows that 3|21 – 41.

Thus;

21 ≡ 41 (mod 3) and the proof is complete

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Answer:

(x + 3)^2 + (y - 5)^2 = 17

Step-by-step explanation:

To find the radius: distance from point (-2,1) to the center from point (-3,5).

d = sqrt [(-2 - -3)^2 + (1 -5)^2]

d = sqrt [(-2 + 3)^2 + (1 -5)^2]

d = sqrt (1)^2 + (-4)^2 = sqrt 17

Radius = sqrt 17

Equation of the circle:

(x - h)^2 + (y - k)^2 = r^2

h = 3, k = 5, r = sqrt 17

(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2

(x + 3)^2 + (y - 5)^2 = 17

Answer:

There would be 88 fluid ounces in 4 prints and 3 cups.

Step-by-step explanation:

So, if 1 print is equal to two cups, and we have 4 prints, that would mean we can multiply 4 x 2, which equals 8 cups. Now that the prints are out of the way, we add the 3 cups still remaining, to get 11 cups. Now, it wants us to find the fluid ounces, which 16 fluid ounces are in 2 cups, so, 11 divided by 2 = 5.5. So, 5.5 x 16 = 88 fluid ounces.

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Answer:

88

Step-by-step explanation:

16x4=64

8x3=24

64+24=88

Answer:pink

Step-by-step explanation:

Step-by-step explanation:

To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.

In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.